LCM for 18 and 12
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What's the Least Common Multiple (LCM) of 18 and 12?
Answer
LCM of 18 and 12 is
36
First common multiples: 36, 72, 108, …
36 is divisible by both: 36 ÷ 18 = 2, 36 ÷ 12 = 3 — and 2 and 3 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/18 by 2 and of y/12 by 3.
18 = 2 × 32
12 = 22 × 3
| Prime | 18 | 12 | Highest power |
|---|---|---|---|
| 2 | 2 | 22 | 22 |
| 3 | 32 | 3 | 32 |
LCM = 22 × 32 = 36
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- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
- Least Common Multiple of 3 Numbers - Find the Least Common Multiple (LCM) of three numbers
- Greatest Common Factor of 3 Numbers - Find the Greatest Common Factor (GCF) of three numbers
- Multiples of a Number - List the first 10 multiples of any number from 1 to 999
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